Circles and Central and Inscribed Angles

What is the measure of a central angle in a circle?

• Measure of the intercepted arc

• Diameter of the circle

• Perimeter of the circle

• Area of the circle

In a circle, what is the relationship between a central angle and the arc it intercepts?

• The central angle and the arc have no relationship.

• The central angle is always less than the arc it intercepts.

• The central angle is always greater than the arc it intercepts.

• The measure of the central angle is equal to the measure of the arc it intercepts.

What is the relationship between an inscribed angle and the arc it intercepts?

• An inscribed angle is equal to the arc it intercepts.

• An inscribed angle is greater than the arc it intercepts.

• An inscribed angle is unrelated to the arc it intercepts.

• An inscribed angle is half the measure of the arc it intercepts.

In a circle, what is the relationship between the angle formed by a chord and the arc it intercepts?

• The angle is greater than the measure of the intercepted arc.

• The angle is half the measure of the intercepted arc.

• The angle is unrelated to the measure of the intercepted arc.

• The angle is equal to the measure of the intercepted arc.

• F
• G
• H
• J

• A
• B
• C
• D

• A
• B
• C
• D

• a
• b
• c
• d

What is the value of x?

This picture represents

• Three Semi-Circles

• Three Inscribed Angles

• Three Central Angles

• Three Intercepted Arcs